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Introduction to
(Mathematical) Problem Solving
What Is Problem ?
What Is Problem ?
What Is Problem ?
What Is The Kind of (Math) Problem ?
Non Routine




                        Open Problem


What Is The Kind of (Math) Problem ?
What Is The Kind of (Math) Problem ?
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What Is The Kind of (Math) Problem ?
What Is Problem Solving ?
What Is Problem Solving ?
(MOE 2000), In




What Is Problem Solving ?
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What Is Problem Solving ?
What Is The Goals of Problem Solving ?
Polya, George (1969). The goals of mathematical education. In




What Is The Goals of Problem Solving ?
What Is The Goals of Problem Solving ?
•   The role of the teacher
•   The classroom culture
•   Interaction patterns among students
•   The kind of problem posed
•   The mathematical structure of the problem
•   Sustained learning
•   The type of response elicited from the student
•   Teacher awareness, understanding and co-operation
•   Informing the larger community



Some of Issues about Teaching PS ?
Some of Issues about Teaching PS ?
Definition of Heuristic
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Types of Heuristic in Math
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Four Steps Polya’s Model
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Schoenfeld’s Model
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Artzt & Armour-Thomas’s Model
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Wickelgren’s Model
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Krulik dan Rudnik’s Model
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Read and Think
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Explore and Plan
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Select a Strategy
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Find an Answer
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Reflect and Extend
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How to Asses Math Problem Solving ?
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Teaching Models that Related with PS
Mathematical problem solving

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